Yes! I very much agree with that last sentence!
I just remembered that I have a very relevant and recent anecdote to share--a shot I missed just last week because of an experiment with Av mode. I recently got a new camera, so I was trying out pretty much everything on it, which one day included Av mode. I was visiting a ranch and wanted to photograph a dog there. This was a white dog (a Great Pyr), and one late afternoon, it was walking around in some nice warm light in front of an open-sided barn. There wasn't much cloud cover, and the light was pretty constant where the dog was. She moving quite a bit, and I kept changing my position and framing differently. Between the two of us shifting around, the background behind the dog would change markedly between shots. The barn had some pens on either side and then an opening all the way through the middle, so it was very bright in the center and very dark on the sides.
I wanted to expose for the dog, which was in very stable light, but the camera in Av mode was trying to accommodate the dark pens whenever they made up more of the background; so in those shots, Av mode kept brightening the exposure, which blew out detail on the white dog. If I had just exposed manually as I usually do, I would have locked in the exposure for the dog, and the camera would never have clipped any highlights on her fur. With the exposure locked down, I would have been free to concentrate on focus, timing, and framing in what was a fairly fast-moving series of shots. There was no need for the exposure to be changing between shots, but the camera didn't know that.
Unfortunately, she walked inside the barn before I stopped fiddling with Av Mode, and I never did get a really good shot of her.

These sorts of experiences are what have made me feel that manual mode is just easier and more reliable.